Mathematics (Fractions ভগ্নাংশ)

1) If 1/4 of a number is subtracted from 1/3 of the same number, the result is 15. What is the number?

2) A clock's pendulum swings through an arc of 5/18th of a circle every second. How many complete circles will it swing through in an hour?

3) If 1/2 of a number is equal to 1/3 of another number, what is the ratio of the first number to the second number?

4) Which of the following fractions cannot be simplified into a rational number?

5) In the following fraction series, two fractions have been put within brackets. Study the series carefully
and select the correct alternative with respect to the series.

6) A car travels 3/5 of the distance from point A to B at 60 km/hr and the remaining distance at 40 km/hr. What is the average speed of the car for the entire journey?

7) A piece of fabric shrinks by 1/10th of its original length after washing. If the original length was 300 meters, what is the length of the fabric after washing?

8) The sum of two fractions is 9/7 and their difference is 1/7. What is the larger of the two fractions?

9) . Some amount out of Rs.
10000 was lent at 6 % p.a. and the
remaining at 4% p.a. If the total
simple interest from both the fractions in 5
years was Rs. 1500, then the ratio of the 2
different
amount is

10) If 2/3 of a tank is filled with water, it takes 15 minutes to fill the remaining part. How much time will it take to fill the entire tank at the same rate?